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Finding the Fourth Proportional to 237.53, 355.86 and 164.41

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Solution

The fourth proportional to 237.53, 355.86 and 164.41 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.53 : 355.86 = 164.41 : x
  2. Step 2: Convert to fraction form
    237.53/355.86 = 164.41/x
  3. Step 3: Cross multiply
    237.53x = 355.86 × 164.41
  4. Step 4: Simplify right side
    237.53x = 58,506.94
  5. Step 5: Solve for x
    x = 58,506.94/237.53
  6. Step 6: Final answer
    x = 246.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.